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Finding the Third Proportional to 32.97 and 68.06

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Solution

The third proportional to 32.97 and 68.06 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.97 : 68.06 = 68.06 : x
  2. Step 2: Convert to fraction form
    32.97/68.06 = 68.06/x
  3. Step 3: Cross multiply
    32.97x = 68.06 × 68.06
  4. Step 4: Simplify right side
    32.97x = 4,632.50
  5. Step 5: Solve for x
    x = 4,632.50/32.97
  6. Step 6: Final answer
    x = 140.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.